Hwang L'Hopital

# Hwang L'Hopital - g grows faster than f ” if lim x →∞...

This preview shows page 1. Sign up to view the full content.

Holy Cross College, Fall Semester, 2003 Math 131, Professor Hwang Worksheet for Thurssday, November 6 Calculate the following limits: lim x 1 ln x x - 1 , lim x 0 1 - cos x x , lim x 0 e x - 1 - x x 2 , lim x 0 x - sin x x 3 . lim x →∞ x e x , lim x →∞ x 2 e x , lim x →∞ x n e x ( n > 0) . lim x →∞ ln x x , lim x →∞ ln x x , lim x →∞ ln x x 0 . 001 . We say that “
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: g grows faster than f ” if lim x →∞ f ( x ) g ( x ) = 0. Put the functions below in increasing order of growth rate. e x , ln(ln x ) , x 100 , e x 2 , x 1 / 2 , ln x, e 2 x , 1000 x 10 , x x...
View Full Document

## This note was uploaded on 03/26/2012 for the course MAC 2312 taught by Professor Bonner during the Fall '08 term at University of Florida.

Ask a homework question - tutors are online